Pith Number

pith:KVZCO2GA

pith:2012:KVZCO2GADXEIQDMSQELZIHY3LX

not attested not anchored not stored refs pending

Exponential synchronization rate of Kuramoto oscillators in the presence of a pacemaker

Francis J. Doyle III, Yongqiang Wang

arxiv:1209.0811 v1 · 2012-09-04 · cs.SY · nlin.AO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KVZCO2GADXEIQDMSQELZIHY3LX}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:46:16.164002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55722768c01dc8880d928117941f1b5dfeceebd541de591875620b448daeba75

Aliases

arxiv: 1209.0811 · arxiv_version: 1209.0811v1 · doi: 10.48550/arxiv.1209.0811 · pith_short_12: KVZCO2GADXEI · pith_short_16: KVZCO2GADXEIQDMS · pith_short_8: KVZCO2GA

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/KVZCO2GADXEIQDMSQELZIHY3LX \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 55722768c01dc8880d928117941f1b5dfeceebd541de591875620b448daeba75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06011650f4233cf9c9eb6ac1baf19402f753f37762d2a6b3202c0fe329d4dd1d",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SY",
    "submitted_at": "2012-09-04T21:56:34Z",
    "title_canon_sha256": "2d25e25b66604acc8911c9d9fdadec18895810a800bcceab9e3fa9196d63e223"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0811",
    "kind": "arxiv",
    "version": 1
  }
}